Finite Group Databasebeta

← Group #11791379

Character table — Group #11791379

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12222233444466666636666666666612121212121212124412121212121212121212121212121212121212124444888888888888121212122424242424242424242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-111-1111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ101-1-111-1111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1ii−i−i−i−iii-1-111i−i−iiii−i−iii−i−i−i−iii−i−iii-11-11
χ111-1-111-1111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−i−iiiii−i−i-1-111−iii−i−i−iii−i−iiiii−i−iii−i−i-11-11
χ121-1-111-1111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1
χ131-1-111-1111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i11-1-1−ii−iiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141-1-111-1111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−i−i−iii-1-111−iii−iii−i−i−i−iii−i−iiiii−i−i-111-1
χ151-1-111-1111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−i−iiiii−i−i-1-111i−i−ii−i−iiiii−i−iii−i−i−i−iii-111-1
χ161-1-111-1111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii11-1-1i−ii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000002i−2i2i−2i00000000000000002i−2i2i−2i00000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000
χ192222222-12222222-1-1-1-12-12-1-1-1-1-1-1-1-122-1-1-122-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-1000000000000
χ202222222-12222222-1-1-1-12-12-1-1-1-1-1-1-1-122-1-1-122-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20011111111000000000000
χ212222222-12222222-1-1-1-12-12-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-211-2-211-1-1-1-111111111222200000000-2-200-1-1-1-11111000000000000
χ222222222-12222222-1-1-1-12-12-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000000022001111-1-1-1-1000000000000
χ23222222-122222-1-1-1222-1-12-12-1-1-1-1-1-1-1-1-1222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ24222222-122222-1-1-1222-1-12-12-1-1-1-1-1-1-1-1-1222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ25222222-122222-1-1-1222-1-12-12-1-1-1-1-1-1-1-1-1222-1-12-2-211-2-211-2-2-1-1-1-11111111100002222000000-2-200000000-1-1-1-111110000
χ26222222-122222-1-1-1222-1-12-12-1-1-1-1-1-1-1-1-1222-1-12-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-200000022000000001111-1-1-1-10000
χ27222222-12-2-2-2-2-1-1-1222-1-12-12-1-1-1-1-1-1-111-2-2-211-200−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i0000000000000000−ii−ii3−33−30000
χ28222222-12-2-2-2-2-1-1-1222-1-12-12-1-1-1-1-1-1-111-2-2-211-200−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i0000000000000000i−ii−i−33−330000
χ29222222-12-2-2-2-2-1-1-1222-1-12-12-1-1-1-1-1-1-111-2-2-211-200i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i0000000000000000−ii−ii−33−330000
χ30222222-12-2-2-2-2-1-1-1222-1-12-12-1-1-1-1-1-1-111-2-2-211-200i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i0000000000000000i−ii−i3−33−30000
χ312222-2-2222-22-22222222-2-2-2-2-2-222-2-222-22-2-22-2200000000002-22-2000000002-22-20000000000002-22-20000000000000000
χ322222-2-2222-22-22222222-2-2-2-2-2-222-2-222-22-2-22-2200000000002-22-200000000-22-22000000000000-22-220000000000000000
χ332222-2-222-22-222222222-2-2-2-2-2-222-2-22-22-222-22-20000000000-22-220000000000000000222200000000000000000000-2-200
χ342222-2-222-22-222222222-2-2-2-2-2-222-2-22-22-222-22-20000000000-22-220000000000000000-2-2-2-2000000000000000000002200
χ352222-2-22-12-22-2222-1-1-1-1-21-2111-1-111-12-2-1112-2-10000−i3i300−i3i3-11-11−i3i3−i3i3−i3i3−i3i32-22-2000000000000-11-11−i3i3−i3i3000000000000
χ362222-2-22-12-22-2222-1-1-1-1-21-2111-1-111-12-2-1112-2-10000−i3i300−i3i3-11-11−i3i3−i3i3−i3i3−i3i3-22-220000000000001-11-1i3−i3i3−i3000000000000
χ372222-2-22-12-22-2222-1-1-1-1-21-2111-1-111-12-2-1112-2-10000i3−i300i3−i3-11-11i3−i3i3−i3i3−i3i3−i32-22-2000000000000-11-11i3−i3i3−i3000000000000
χ382222-2-22-12-22-2222-1-1-1-1-21-2111-1-111-12-2-1112-2-10000i3−i300i3−i3-11-11i3−i3i3−i3i3−i3i3−i3-22-220000000000001-11-1−i3i3−i3i3000000000000
χ392-2-222-222-222-2-2-222-2-2222-2-222-2-2-2-22-2-2-2-222220000000000-2-2220000000000002-2-2200000000000000002-2-2200000000
χ402-2-222-222-222-2-2-222-2-2222-2-222-2-2-2-22-2-2-2-222220000000000-2-222000000000000-222-20000000000000000-222-200000000
χ412-2-222-22-12-2-22-2-22-111-12-1-21-1-11111-122-1-11-2-212-222-1-1-2-211-1-111-1-1-1-111112i2i−2i−2i000000002i−2i00−i−iii−i−iii000000000000
χ422-2-222-22-12-2-22-2-22-111-12-1-21-1-11111-122-1-11-2-212-222-1-1-2-211-1-111-1-1-1-11111−2i−2i2i2i00000000−2i2i00ii−i−iii−i−i000000000000
χ432-2-222-22-12-2-22-2-22-111-12-1-21-1-11111-122-1-11-2-21-22-2-21122-1-1-1-1111111-1-1-1-12i2i−2i−2i00000000−2i2i00−i−iiiii−i−i000000000000
χ442-2-222-22-12-2-22-2-22-111-12-1-21-1-11111-122-1-11-2-21-22-2-21122-1-1-1-1111111-1-1-1-1−2i−2i2i2i000000002i−2i00ii−i−i−i−iii000000000000
χ452-2-222-2-122-2-2211-12-2-2-1-121-2-1-11111-1-1-122-211-22-2-1-12211-2-2-1-111-1-1-1-1111100002i2i−2i−2i0000002i−2i00000000−i−iii−i−iii0000
χ462-2-222-2-122-2-2211-12-2-2-1-121-2-1-11111-1-1-122-211-22-2-1-12211-2-2-1-111-1-1-1-111110000−2i−2i2i2i000000−2i2i00000000ii−i−iii−i−i0000
χ472-2-222-2-122-2-2211-12-2-2-1-121-2-1-11111-1-1-122-211-2-2211-2-2-1-122-1-1111111-1-1-1-100002i2i−2i−2i000000−2i2i00000000−i−iiiii−i−i0000
χ482-2-222-2-122-2-2211-12-2-2-1-121-2-1-11111-1-1-122-211-2-2211-2-2-1-122-1-1111111-1-1-1-10000−2i−2i2i2i0000002i−2i00000000ii−i−i−i−iii0000
χ492-2-222-2-12-222-211-12-2-2-1-121-2-1-11111-111-2-22-1-1200−i3i300i3−i30011-1-1−i3−i3i3i3i3i3−i3−i300002-2-220000000000000000-111-1−i3i3i3−i30000
χ502-2-222-2-12-222-211-12-2-2-1-121-2-1-11111-111-2-22-1-1200−i3i300i3−i30011-1-1−i3−i3i3i3i3i3−i3−i30000-222-200000000000000001-1-11i3−i3−i3i30000
χ512-2-222-2-12-222-211-12-2-2-1-121-2-1-11111-111-2-22-1-1200i3−i300−i3i30011-1-1i3i3−i3−i3−i3−i3i3i300002-2-220000000000000000-111-1i3−i3−i3i30000
χ522-2-222-2-12-222-211-12-2-2-1-121-2-1-11111-111-2-22-1-1200i3−i300−i3i30011-1-1i3i3−i3−i3−i3−i3i3i30000-222-200000000000000001-1-11−i3i3i3−i30000
χ532-2-22-222222-2-2-2-222-2-22-2-222-2-2-2-22222-22-22-22-200000000002-2-22000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000000
χ542-2-22-222222-2-2-2-222-2-22-2-222-2-2-2-22222-22-22-22-200000000002-2-2200000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000
χ552-2-22-2222-2-222-2-222-2-22-2-222-2-2-2-2222-22-22-22-220000000000-222-2000000000000000022-2-200000000000000000000-2200
χ562-2-22-2222-2-222-2-222-2-22-2-222-2-2-2-2222-22-22-22-220000000000-222-20000000000000000-2-222000000000000000000002-200
χ572-2-22-222-122-2-2-2-22-111-1-212-11111-1-1-12-2-11-1-2210000−i3i300i3−i3-111-1−i3i3−i3i3i3−i3i3−i32i−2i−2i2i000000000000−iii−i3−3−33000000000000
χ582-2-22-222-122-2-2-2-22-111-1-212-11111-1-1-12-2-11-1-2210000−i3i300i3−i3-111-1−i3i3−i3i3i3−i3i3−i3−2i2i2i−2i000000000000i−i−ii−333−3000000000000
χ592-2-22-222-122-2-2-2-22-111-1-212-11111-1-1-12-2-11-1-2210000i3−i300−i3i3-111-1i3−i3i3−i3−i3i3−i3i32i−2i−2i2i000000000000−iii−i−333−3000000000000
χ602-2-22-222-122-2-2-2-22-111-1-212-11111-1-1-12-2-11-1-2210000i3−i300−i3i3-111-1i3−i3i3−i3−i3i3−i3i3−2i2i2i−2i000000000000i−i−ii3−3−33000000000000
χ614444444-2-4-4-4-4444-2-2-2-24-24-2-2-2-2-2-2-2-2-4-4222-4-420000000000222200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i32i300−2i32i300-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i3−2i3002i3−2i300-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-44-2-44-44444-2-2-2-2-42-4222-2-222-2-442-2-2-44200000000002-22-200000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-2-2-2444-22-42-422-2-222-2-224-4-4-2240000000000-22-2200000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-2-2-2444-22-42-422-2-222-22-2-4442-2-400000000002-22-200000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-212222-1-111-1-11-22-222-22-20000−2i32i300−2i32i31-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-212222-1-111-1-11-22-222-22-200002i3−2i3002i3−2i31-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-212222-1-111-1-112-22-2-22-220000000000-11-113-3-333-3-33000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-212222-1-111-1-112-22-2-22-220000000000-11-11-333-3-333-3000000000000000000000000000000000000
χ7344-4-4004400004-4-4-44-440000004-400-40000000000000000000000000000000000000022−2222−22000000000000000000000000
χ7444-4-4004400004-4-4-44-440000004-400-400000000000000000000000000000000000000−2222−2222000000000000000000000000
χ754-44-400440000-44-4-4-444000000-4400-40000000000000000000000000000000000000022−22−2222000000000000000000000000
χ764-44-400440000-44-4-4-444000000-4400-400000000000000000000000000000000000000−222222−22000000000000000000000000
χ774-4-444-44-2-444-4-4-44-222-24-2-42-2-22222-2-4-422-244-2000000000022-2-200000000000000000000000000000000000000000000
χ784-4-444-4-2-24-4-4422-2-2221-2-22211-1-1-1-11-2-2-2-222224-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000
χ794-4-444-4-2-24-4-4422-2-2221-2-22211-1-1-1-11-2-2-2-22222-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ804-4-444-4-2-2-444-422-2-2221-2-22211-1-1-1-112222-2-2-2-200−2i32i3002i3−2i300-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ814-4-444-4-2-2-444-422-2-2221-2-22211-1-1-1-112222-2-2-2-2002i3−2i300−2i32i300-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ824-4-44-444-2-4-444-4-44-222-2-424-22222-2-2-2-442-224-4-200000000002-2-2200000000000000000000000000000000000000000000
χ834-4-44-44-2444-4-422-24-4-4-22-4-242222-2-2-2-224-442-2-40000000000-222-200000000000000000000000000000000000000000000
χ844-4-44-44-24-4-44422-24-4-4-22-4-242222-2-2-22-2-44-4-22400000000002-2-2200000000000000000000000000000000000000000000
χ854-4-44-44-2-244-4-422-2-222122-2-2-1-1-1-1111-22-22-22-220000−2i32i3002i3−2i31-1-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ864-4-44-44-2-244-4-422-2-222122-2-2-1-1-1-1111-22-22-22-2200002i3−2i300−2i32i31-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ874-4-44-44-2-2-4-44422-2-222122-2-2-1-1-1-11112-22-22-22-20000000000-111-13-3-33-333-3000000000000000000000000000000000000
χ884-4-44-44-2-2-4-44422-2-222122-2-2-1-1-1-11112-22-22-22-20000000000-111-1-333-33-3-33000000000000000000000000000000000000
χ8988-8-8008-400008-8-84-44-4000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-444-88-8-4000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4444-44200006-62-26-6-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4444-4420000-662-2-66-2000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-88-844-4-40000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-44-8-88-40000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-4444-4200006-6-22-66-2000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-4444-420000-66-226-6-2000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).